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Finding the Fourth Proportional to 8,416.70, 11,614.53 and 4,639.67

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Solution

The fourth proportional to 8,416.70, 11,614.53 and 4,639.67 is: 6,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.70 : 11,614.53 = 4,639.67 : x
  2. Step 2: Convert to fraction form
    8,416.70/11,614.53 = 4,639.67/x
  3. Step 3: Cross multiply
    8,416.70x = 11,614.53 × 4,639.67
  4. Step 4: Simplify right side
    8,416.70x = 53,887,563.21
  5. Step 5: Solve for x
    x = 53,887,563.21/8,416.70
  6. Step 6: Final answer
    x = 6,402.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.